K13n762

Dowker-Thistlethwaite code

4 8 14 2 -18 -20 6 22 24 -12 -10 26 16

Jones polynomial	Data:K13n762/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ 2 t^3-10 t^2+23 t-29+23 t^{-1} -10 t^{-2} +2 t^{-3} }[/math]
Conway polynomial	Data:K13n762/Conway Polynomial
Determinant	99
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ z^6 a^{-2} +z^6-2 a^2 z^4+3 z^4 a^{-2} -z^4 a^{-4} +2 z^4+a^4 z^2-4 a^2 z^2+5 z^2 a^{-2} -2 z^2 a^{-4} +z^2+a^4-2 a^2+4 a^{-2} -2 a^{-4} }[/math]
Kauffman polynomial	[math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+3 z^{10} a^{-2} +6 z^{10}+3 a^3 z^9+5 a z^9+5 z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-10 a^2 z^8-6 z^8 a^{-2} +z^8 a^{-4} -18 z^8-15 a^3 z^7-37 a z^7-27 z^7 a^{-1} -5 z^7 a^{-3} -5 a^4 z^6+3 z^6 a^{-2} +6 z^6 a^{-4} +2 z^6+24 a^3 z^5+56 a z^5+31 z^5 a^{-1} +6 z^5 a^{-3} +7 z^5 a^{-5} +8 a^4 z^4+20 a^2 z^4-8 z^4 a^{-2} -12 z^4 a^{-4} +3 z^4 a^{-6} +19 z^4-15 a^3 z^3-30 a z^3-19 z^3 a^{-1} -12 z^3 a^{-3} -7 z^3 a^{-5} +z^3 a^{-7} -5 a^4 z^2-14 a^2 z^2+7 z^2 a^{-2} +7 z^2 a^{-4} -9 z^2+3 a^3 z+7 a z+7 z a^{-1} +6 z a^{-3} +3 z a^{-5} +a^4+2 a^2-4 a^{-2} -2 a^{-4} }[/math]

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